Example 2. Find Cartesian coordinates of point determined by polar coordinates M=(2,π).

Solution. Cartesian coordinate system is determined by (O=P,x=o,Sy,yx), Cartesian coordinates of point M are in the form M= (x,y), where

x = ρ cos ϕ = 2 cos π = 2
y = ρ sin ϕ = 2 sin π = 0

and

M = ( 2 ,0 )
ex2
Figure 1: Cartesian coordinates of point M